A191220 Decimal expansion of x, where Arithmetic-Geometric Mean of 1 and x = Pi.

6, 5, 6, 1, 7, 6, 3, 4, 3, 5, 5, 8, 6, 8, 3, 5, 3, 5, 9, 9, 1, 7, 8, 0, 0, 1, 5, 7, 8, 1, 5, 2, 3, 0, 3, 9, 0, 8, 9, 0, 4, 7, 9, 0, 4, 2, 8, 0, 0, 6, 8, 6, 5, 5, 1, 3, 1, 9, 2, 4, 4, 8, 6, 0, 3, 0, 5, 5, 2, 9, 1, 4, 0, 1, 5, 3, 7, 5, 7, 7, 9, 4, 3, 5, 3, 3, 0, 0, 6, 9, 0, 8, 9, 9, 6, 9, 7, 1, 5, 6, 4, 8, 3, 3, 9, 5, 9, 8, 4, 7

Offset: 1

Author

Joshua Taylor, May 26 2011

Keywords

• nonn
• cons

Programs

Mathematica

SetPrecision[
Nest[((x - (ArithmeticGeometricMean[1, x] - Pi)/
        D[ArithmeticGeometricMean[1, x] - Pi, x]) /. x -> #1) &, 6,
  5], 50]

PARI

\p 120
solve(x=5,10,agm(x,1)-Pi)